Designability of graphitic cones

Michael Treacy; J. Kilian

Designability of graphitic cones

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We show that, with topologically flexible seeds which are allowed to explore different growth modes, graphitic cones are inherently more "designable" than flat graphitic disks. The designability of a structure is the number of seed topologies encoding that structure. We illustrate designability with a simple model, where graphite grows onto C _n(5≤n≤30) ring seeds. For a wide range of ring sizes, cones are the most likely topological outcome. Results from the model agree well with data from special cone-rich carbon black samples. The concept of designability allows entropy to be incorporated into the "pentagon road" model of the formation of curved graphitic structures.

Original language	English (US)
Title of host publication	Materials Research Society Symposium - Proceedings
Editors	J Robertson, T Friedmann, D Geohegan, D Luzzi, R Ruoff
Volume	675
State	Published - 2001
Externally published	Yes
Event	Nanotubes, Fullerenes, Nanostructured and Disordered Carbon - San Francisco, CA, United States Duration: Apr 17 2001 → Apr 20 2001

Other

Other	Nanotubes, Fullerenes, Nanostructured and Disordered Carbon
Country	United States
City	San Francisco, CA
Period	4/17/01 → 4/20/01

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials

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Cite this

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title = "Designability of graphitic cones",

abstract = "We show that, with topologically flexible seeds which are allowed to explore different growth modes, graphitic cones are inherently more {"}designable{"} than flat graphitic disks. The designability of a structure is the number of seed topologies encoding that structure. We illustrate designability with a simple model, where graphite grows onto C n(5≤n≤30) ring seeds. For a wide range of ring sizes, cones are the most likely topological outcome. Results from the model agree well with data from special cone-rich carbon black samples. The concept of designability allows entropy to be incorporated into the {"}pentagon road{"} model of the formation of curved graphitic structures. ",

author = "Michael Treacy and J. Kilian",

year = "2001",

language = "English (US)",

volume = "675",

editor = "J Robertson and T Friedmann and D Geohegan and D Luzzi and R Ruoff",

booktitle = "Materials Research Society Symposium - Proceedings",

note = "Nanotubes, Fullerenes, Nanostructured and Disordered Carbon ; Conference date: 17-04-2001 Through 20-04-2001",

}

TY - GEN

T1 - Designability of graphitic cones

AU - Treacy, Michael

AU - Kilian, J.

PY - 2001

Y1 - 2001

N2 - We show that, with topologically flexible seeds which are allowed to explore different growth modes, graphitic cones are inherently more "designable" than flat graphitic disks. The designability of a structure is the number of seed topologies encoding that structure. We illustrate designability with a simple model, where graphite grows onto C n(5≤n≤30) ring seeds. For a wide range of ring sizes, cones are the most likely topological outcome. Results from the model agree well with data from special cone-rich carbon black samples. The concept of designability allows entropy to be incorporated into the "pentagon road" model of the formation of curved graphitic structures.

AB - We show that, with topologically flexible seeds which are allowed to explore different growth modes, graphitic cones are inherently more "designable" than flat graphitic disks. The designability of a structure is the number of seed topologies encoding that structure. We illustrate designability with a simple model, where graphite grows onto C n(5≤n≤30) ring seeds. For a wide range of ring sizes, cones are the most likely topological outcome. Results from the model agree well with data from special cone-rich carbon black samples. The concept of designability allows entropy to be incorporated into the "pentagon road" model of the formation of curved graphitic structures.

UR - http://www.scopus.com/inward/record.url?scp=0035559015&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035559015&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0035559015

VL - 675

BT - Materials Research Society Symposium - Proceedings

A2 - Robertson, J

A2 - Friedmann, T

A2 - Geohegan, D

A2 - Luzzi, D

A2 - Ruoff, R

T2 - Nanotubes, Fullerenes, Nanostructured and Disordered Carbon

Y2 - 17 April 2001 through 20 April 2001

ER -